Details

Time bar (total: 5.9s)

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02017
14417
212617
332817
460217
578017
6101017
7148217
8500117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 2.0 t) (+ 1.0 t))
0.0b
(/ (* 2.0 t) (+ 1.0 t))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log add-cbrt-cube
60×*-un-lft-identity
48×times-frac
32×prod-exp cbrt-unprod
28×cbrt-undiv add-sqr-sqrt div-exp
24×add-cube-cbrt swap-sqr
20×associate-*r* associate-*l* associate-/r/
18×pow1
16×distribute-lft-out
10×flip3-+ flip-+ div-inv
8×associate-/r*
4×add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l* unswap-sqr
Counts
4 → 184
Calls
4 calls:
7.0ms
(/ (* 2.0 t) (+ 1.0 t))
7.0ms
(/ (* 2.0 t) (+ 1.0 t))
32.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
32.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (* 2.0 t) (+ 1.0 t))
37.0ms
(/ (* 2.0 t) (+ 1.0 t))
52.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
48.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify70.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04641586
125751212
250011140

prune323.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.5b
(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
0.8b
(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log *-un-lft-identity
40×add-cbrt-cube
32×unpow-prod-down
28×times-frac
26×add-sqr-sqrt
24×add-cube-cbrt
20×pow-unpow sqrt-prod
15×prod-exp cbrt-unprod
14×pow1
12×cbrt-undiv swap-sqr div-exp associate-/r/
10×associate-*r* associate-*l*
8×distribute-lft-out
7×log-prod pow-pow
6×flip3-+ flip-+ div-inv
4×add-log-exp sqr-pow
3×pow-to-exp exp-prod rem-log-exp pow-exp
1×pow2 frac-times sqrt-pow1 pow-plus pow1/2 associate-*r/ pow-prod-down associate-*l/ pow-sqr log-pow *-commutative pow-prod-up sqrt-pow2 unswap-sqr
Counts
4 → 149
Calls
4 calls:
32.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
9.0ms
(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
8.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
2.0ms
(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

series1.1s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
290.0ms
(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
199.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
526.0ms
(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

simplify109.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08531462
142691197
250011146

prune467.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
1.3b
(log (cbrt (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))))
1.3b
(log (cbrt (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
32×unpow-prod-down
22×*-un-lft-identity
20×log-prod sqrt-prod
18×add-sqr-sqrt add-cube-cbrt
14×cbrt-prod
10×pow1
8×add-exp-log times-frac
6×pow-unpow pow-pow
4×associate-/r/ log-pow add-cbrt-cube add-log-exp sqr-pow
2×pow-to-exp sqrt-pow1 flip3-+ pow1/2 pow1/3 rem-log-exp pow-exp sqrt-pow2 flip-+ div-inv distribute-lft-out
Counts
4 → 100
Calls
4 calls:
9.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
8.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
2.0ms
(log (cbrt (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))))
2.0ms
(log (cbrt (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))))

series2.2s

Counts
4 → 12
Calls
4 calls:
197.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
194.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
922.0ms
(log (cbrt (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))))
918.0ms
(log (cbrt (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))))

simplify50.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04051280
113551100
250011054

prune495.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11417

end0.0ms

sample562.0ms

Algorithm
intervals
Results
464.0ms8000×body80valid